Home
Class 12
MATHS
Prove each of the following limits by in...

Prove each of the following limits by intuitive and graphical methods :
`underset(xrarr0)"lim"(2x)/(x)=2`

Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 ( Short Answer Type Questions)|80 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 ( Long Answer Type Questions)|38 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 (Multiple Choice Type Questions)|20 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Prove each of the following limits by intuitive and graphical methods : underset(xrarr0)"lim"|x|=0

Prove each of the following limits by intuitive and graphical methods : underset(xrarr3)"lim"2x=6

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

underset(xrarr0)"lim"(sin3x)/(sinx) =

underset(xrarr0)"lim"(log(1+4x))/(x) =

Prove each of the following limits by graphical methods : underset(xrarr-2)"lim"4=4

Prove : underset(xrarr0)"lim""xcos"(1)/(x)=0

Evaluate : underset(xrarr0)"lim"(1)/(x) .

underset(xrarr0)"lim"(sinx)/(sqrt(x)) is -

CHHAYA PUBLICATION-LIMIT-EXERCISE 2 (Very Short Answer Type Questions )
  1. Prove each of the following limits by graphical methods : underset(x...

    Text Solution

    |

  2. Prove each of the following limits by intuitive and graphical methods ...

    Text Solution

    |

  3. Prove each of the following limits by intuitive and graphical methods ...

    Text Solution

    |

  4. Prove each of the following limits by intuitive and graphical methods ...

    Text Solution

    |

  5. Prove that : underset(xrarr3)"lim"(x^(2)-9)/(x-3)=6

    Text Solution

    |

  6. If f(x)=sqrt(x-3), " does "underset(xrarr3)"lim"f(x) exist ? Give rea...

    Text Solution

    |

  7. A function phi(x) is defined as follows : phi(x){:(= 2," when"xne1)...

    Text Solution

    |

  8. If f(x)=(|x|)/(x),"show that ,"underset(xrarr0)"lim"f(x) does not ex...

    Text Solution

    |

  9. Evaluate the following limits : underset(xrarr2)"lim"(x(x^(2)-4))/...

    Text Solution

    |

  10. Evaluate the following limits : underset(hrarr1)"lim"(h^(2)+2h-3)/(...

    Text Solution

    |

  11. Evaluate the following limits : underset(hrarr-(1)/(2))"lim"(6x^(2)...

    Text Solution

    |

  12. Evaluate the following limits : underset(urarr-3)"lim"[(1)/(u+3)+(6...

    Text Solution

    |

  13. Evaluate the following limits : underset(xrarr1)"lim"(x^(3)-1)/(x^(...

    Text Solution

    |

  14. Evaluate the following limits : underset(xrarr1)"lim"(x^(2)+5x-6)/(...

    Text Solution

    |

  15. Evaluate the following limits : underset(xrarr(a)/(2))"lim"(8x^(2)-...

    Text Solution

    |

  16. Evaluate the following limits : underset(xrarr(1)/(2))"lim"(8x^(3)-...

    Text Solution

    |

  17. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(1+x)-sqr...

    Text Solution

    |

  18. Evaluate the following limits : underset(xrarr0)"lim"(1-sqrt(1-x^(2...

    Text Solution

    |

  19. Evaluate the following limits : underset(hrarr1)"lim"(h-1)/(sqrt(h...

    Text Solution

    |

  20. Evaluate the following limits : underset(xrarr2)"lim"(sqrt(x)-sqrt(...

    Text Solution

    |